test of mathematical aptitude
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DR P VISU
Test of Mathematical Aptitude : MBA,RRB ,Bank PO
1. Two numbers are respectively 25% and 20% less than a third number. What percent is the first number of the second. (A) 5.85% (B) 75.85% (C) 80.60% (D) 93.75% Ans (D) 2. A pump can fill a tank with water in two hours. Because of a leak in the tank it was taking two 1/3 hours to fill the tank. The leak can drain all the water off the tank in. (A) 8 hours (B) 7 hours (C) 13/3 hours (D) 14 hours Ans (D) 3. A can do a peace of work in 4 hours. B and C can do it in 3 hours. A and C can do it in two hours. How long will B take to do it? (A) 10 hours (B) 12 hours (C) 8 hours (D) 24 hours Ans (B) 4. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest p.a. for two years is Rs.15. Then the sum is _____(A) Rs.6500 (B) Rs.5500 (C) Rs.6000 (D) Rs.7000 Ans (C) 5. A sum borrowed under compound interest doubles itself in 10 years. When will it become four fold of itself at the same rate of interest? (A) 15 years (B) 20 years (C) 24 years (D) 40 years ()Ans (B) 6. The students in three classes are in the ratio of 2:3:5 if 40 students are increased in each class the ratio changes to 4:5:7 if 40 students are increased in each class the ratio changes to 4:5:7 originally the total number of students was _______ (A) 100 (B) 180 (C) 200 (D) 400 Ans (C) 7. The ratio of incomes of two persons is 5:3 and that of their expenditure is 9.5. Find the income of each person if they save Rs.1300 and Rs.900 respectively. (A) Rs.4000, Rs.2400 (B) Rs.3000, Rs.1800 (C) Rs.5000, Rs.3000 (D) Rs.4500, Rs.2700 Ans (A)
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8. A fort has provision for 50 days if after 10 days they are strengthen by 500 men and the remaining food lasts 35 days. How many men were there in the fort initially? (A) 3500 (B) 3000 (C) 2500 (D) 4000 Ans (A) 9. A number is increased by 20% and then it is decreased by 10%. Find the net increase or decrease in % (A) 10% increase (B) 10% decrease (C) 8%increase (D) 8% decrease Ans (C) 10. The product of two positive numbers is 2500 if one number is 4 times the other, the sum of the two numbers is ______ (A) 25 (B) 125 (C) 225 (D) 250 Ans (B) 11. Which of the following is the largest number which is exactly devisable by 7,9 and 15? (A) 9450 (B) 9765 (C) 9865 (D) 9550 Ans (B) 12. What percent of 5/8 is 8/5? (A) 100 (B) 64 (C) 256 (D) 1024 Ans (C) 13. 2.3 + 6.5 - 7.1 + 4.9 -1.4 + 8.6 - 5.3? (A) 8.5 (B) 8.6 (C) 8.7 (D) 8.4 Ans (A) 14. Example of a mathematical statement is ______ (A) (10+8)-9 (B) 2x+3=5 (C) 5<9+3 (D) x+3 Ans (C) 15. If 4x = 10 then X=? (A) 10-4 (B) 10 X 4 (C) 10 +4 (D) 10/4 Ans (D) 16. a and b are two numbers. The property of a = b then b=a is called _______(A) Reflexive property (B) Transitive property
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(C) Symmetric property (D) Associative property Ans (C) 17. "10 added to 5 times x is equal to 20" in symbolic form is _______ (A) 5(x+10)=20 (B) 5x+10=20 (C) x/5+10=20 (D) 5x-10=20 Ans (B) 18. The point equidistant from the vertices of a triangle is its_____ (A) Orthocentre (B) Centroid (C) circumcentre (D) Incentre Ans (C) 19. The centroid of a triangle is the point of concurrence of its (A) angle bisectors (B) perpendicular bisector(C) altitudes (D) medians Ans (D) 20. If the angles of a triangle are in the ratio 1:2:7 then the triangle is ______ (A) acute angled (B) obtuse angled (C) right angled (D) isosceles Ans (D) 21. Two sides of a triangle are 8cm and 11cm then the possible third side is____(A) 1 cm (B) 2 cm (C) 3 cm (D) 4 cm Ans (D) 22. A triangle always has exactly (A) one acute angle (B) at least two acute angles (C) exactly one right angle (D) exactly two acute angles Ans (B) 23. Two trains A and B are running at the speeds of 45 KMPH and 25 KMPH respectively in the same direction. The faster train i.e. train A crosses a Man sitting in the slower train B in 18 secs. Find the length of the train A? (A) 100 metres (B) 120 metres (C) 150 meters (D) 180 meters Ans (A) 24. A circular road runs round a circular ground. If the difference between the circumference of the outer circle and inner circle is 44 meters, find the width of road. (A) 8 meters (B) 7 meters (C) 17 meters (D) 9 meters Ans (B)
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25. A and B started a business in partnership. A invested Rs.2000/- for six months and B invested Rs.1500 for 8 months. What is the share of A in total profit of Rs.510? (A) Rs.250 (B) Rs.255 (C) Rs.275 (D) Rs.280 Ans (B)
Bank Probationary Officer Solved Paper
Numerical Ability
1. A shopkeeper purchases a packet of 50 pens for Rs. 500. He sells a part of the packet at a profit of 30%. On the remaining part, he incurs a loss of 10%. If his overall profit on the entire packet is 10%, what is the number of pens sold at profit?
a. 25
b. 30
c. 20
d. 15
e.None of these
2. For a loan of Rs.32,400 that I gave to my friend Anil, he promised to pay me the amount in monthly instalments starting with a certain amount & increasing the instalments every month a fixed amount of Rs.100. In this way he could clear off the loan in 24 months. How much was the first instalment?
a. 100
b. 200
c. 400
d. 500
e.None of these
Directions (Qs 3 to 5): Study the following information carefully & answer accordingly:
(i) In a school a total of 220 students are studying together in two sections A & B in the ratio of 5:6. Students are studying only English or only Sanskrit or both English & Sanskrit.
(ii) The number of students studying only English from section A & of those studying both English & Sanskrit from section B are equal & each of them is 40% of the students who are studying only English from section B.
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(iii) The number of students studying only Sanskrit from section A is 30% of the number of students studying in section B & 60% of the students who are studying only English from section B.
3. How many students are studying both English & Sanskrit from section A?
a. 48
b. 16
c. 40
d. 36
e.None of these
4. How many students are studying only Sanskrit from section B?
a. 36
b. 10
c. 12
d. 24
e.None of these
5. Number of students studying only English from section B is what percent more than that of the students studying only English from section A?
a. 150%
b. 100%
c. 75%
d. 20%
e.None of these
Directions (Qs 6 & 7): Study the following information carefully & answer accordingly:
A survey was conducted by an agency in 25000 houses. It was found that 48% used ‘Head & Shoulder’, 48% used ‘Clinic Plus’ & 53% used ‘Pentene Shampoo’. 12% used both ‘Head & Shoulder’ & ‘Clinic Plus’ only & 10% used both ‘Clinic Plus’ & ‘Pentene’ only.
6. How many people used both Head & Shoulders & Pentene only if 8% used all the three?
a. 2750
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b. 2500
c. 2000
d. Data inadequate
e.None of these
7. How many people used only Pentene if 8% used all the three shampoos?
a. 5000
b. 6000
c. 8000
d. 8500
Directions (Qs 8 to 25): Following Questions are accompanied by three statements. You have to determine which statement is/are necessary/sufficient to answer the question,
8. What is Sangita’s present age?
(1) Five years ago, Sangita’s age was double that of her son’s age that time.
(2) Present age of Sangita & her son are in the ratio 11:6 respectively.
(3) Five years hence, the respective ratio of Sangita’s age & her son’s age will become 12:7
a. Only 1 & 3
b. Only 2 & 3
c. Only 1 & 2
d. 1 , 2 & 3 All
e.None of these
9. Find out Rahul’s percentage of marks in the examination:
(1) He appeared in all the five papers of the exam carrying full marks of 100 for each paper.
(2) He gained 6% marks more than the marks needed for the first division.
(3) He got 30 marks more than the marks needed for first division.
a. 1 & 3 are sufficient
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b. 2 alone is sufficient
c. Either only 2 or 1 & 3 together are sufficient
d. All together are necessary
e.None of these
10. What is the price of a chair?
(1) The price of three tables is equal to the price of seven chairs.
(2) The difference between the price of a table & that of a chair is Rs.900.
(3) The price of one table is 400/3% more than the price of one chair.
a. Only 1 & 2 together are sufficient
b. Only 1 & 3 together are sufficient
c. all together are necessary
d. 2 & either 1 or 3 together are sufficient.
e.None of these
11. What is the total number of boys in the college?
(1) The number of boys in the college is 30% more than that of girls.
(2) The ratio between them is 13:10
(3) Total number of students in the college is 3910.
a. Any two of them are sufficient
b. 1 & 2 together are sufficient
c. 1 & 3 together are sufficient
d. Either 1 & 3 together or 2 & 3 together are sufficient.
12. What is the staff strength of Company ‘X’?
(1) Male & female employees are in the ratio of 2:3 respectively
(2) Of the officer employees 80% are males
(3) Total number of officers is 132
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a. 1 & 3 only
b. 2 & either 3 or 1 only
c. All 1, 2 & 3
d. Question cannot be answered
e.None of these
13. Two persons X & Y entered into a partnership. Find the share of X’s profit if,
(1) The ratio of the capitals of X & Y is 3:5
(2) X invested his money for two months more than Y
(3) Y’s share in the profit is Rs. 1000 less than the share of X
a. 1 & 2 are sufficient
b. All together are necessary
c. All together are not necessary
d. Even all taken together are not sufficient
e.None of these
14. Two persons L & M entered into a partnership. Find the share of L in the total profit
(1) The ratio of the capitals of L & M is 4:5
(2)L invested his money two months more than M
(3) M’s share in total profit is Rs.800 more than the share of L
a. Questions cannot be answered even after using all the information
b. All statements are required to answer the question
c. 1 & 3 together
d. 1 & 2 together
e.None of these
15. Find the % discount on the market price offered by a shopkeeper
(1) If the shopkeeper does not give the discount, he will gain a profit of 50%
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(2) If the shopkeeper gives the discount, the profit will be 38%
(3) The cost price of the article is Rs.400
a. Any two of them
b. All statements are required
c. 3 & either 1 or 2
d. Only 1 & 2 together
e.None of these
16. A shopkeeper sold an article & got Rs108 as profit. Find the profit percentage
(1) Selling price of the article is Rs.828.
(2) He gave 10% discount on the marked price, which is Rs.920.
(3) Cost price of the article is Rs.720.
a. Any two of them
b. Either 1 or 3
c. Any of them
d. Only 2
e.None of these
17. What is the cost price of an article?
(1) After allowing a discount of 10% on marked price, the shopkeeper charges Rs.810.
(2) If the shopkeeper does not give the discount, the shopkeeper gets a profit of 50%.
(3) If the shopkeeper gives only 5% discount on marked price, he will have 42.50% profit.
a. Any two of them.
b. 1 & 2 together.
c. 1 & either 2 or 3
d. Only 2 & 3
e.None of these
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18. How much did an article originally cost?
(1) It changed hands three times & each seller gained 25%
(2) The third person sells it for Rs.250 more than the second.
(3) The second person sells it for Rs.200 more than the first.
a. 1 & either 2 or 3
b. Any two of them
c. Any of them
d. All statements are required
e.None of these
19. What was the profit earned on the cost price by Mahesh by selling an article?
(1) He got 15% concession on buying that article.
(2) He sold it for Rs.3060/-
(3) He earned a profit of 2% on the labeled price.
a. Only 1 & 2 together are required.
b. Only either 1 or 3 & 2 together are required
c. Even with all 1, 2 & 3 the answer cannot be arrived at
d. All 1, 2 & 3 together are required
e.None of these
20. How many articles were sold?
(1) Total profit earned was Rs.1596/-
(2) Cost price per article was Rs.632/-
(3) Selling price per article was Rs.765/-
a. 1 & 2 only
b. All 1, 2 & 3
c. Any two of the three
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d. Question cannot be answered even after the information in all the three statements.
e.None of these
21. Rinku borrowed an amount of Rs.5000 from Milan & Rahul. What is the rate of interest?
(1) Rinku returned the amount of Rs.5400 after due date to Milan.
(2) Rinku returned the amount of Rs.5900 after due date to Rahul.
(3) Rinku returned the money to Milan by simple interest whereas to Rahul by compound interest.
a. Only 1 & 2 together are sufficient
b. Only 2 & 3 together are sufficient
c. Either 1 & 2 together or 2 & 3 together are sufficient
d. 1, 2 & 3 given together are not sufficient
e.None of these
22. The compound interest on a sum is Rs.573. Find the rate of interest
(1) The simple interest on the same amount at the same rate is Rs.540
(2) The sum is Rs.3000
(3) The compound interest is compounded half yearly
a. 1 & 2 are sufficient
b. 2 & 3 are sufficient
c. Any two statements are sufficient
d. All given together are not sufficient
e.None of these
23. Between P & Q who will get the maximum interest?
(1) P deposits a certain sum at 15% p.a. for one & half years, when the interest is compounded half yearly.
(2) Q deposits a certain sum of money at 15/2% per annum for 4 years, when the interest is compounded yearly.
(3) The ratio of sums of money of P & Q is 2:3
a. Only 1 & 2 together are sufficient.
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b. Any two of the three statements are sufficient.
c. Either 1 & 2 together or 2 & 3 together are sufficient.
d. All 1, 2 & 3 together are necessary
e.None of these
24. The compound interest on a sum is Rs.625. Find the rate of interest.
(1) The sum is Rs.3500
(2) The simple interest on the same amount at the same rate is Rs.575
(3) The interest is compounded half yearly
a. Only 2 & 3 together are sufficient
b. Any two of the three statements are sufficient
c. All 1, 2 & 3 together are necessary
d. Even all together are not sufficient
e.None of these
25. What is the rate of interest?
(1) An mount becomes double in 5 years at simple interest
(2) The difference between compound interest & simple interest at the end of 2 years is Rs.200
(3) The sum is Rs.5000
a. Only 1
b. 1 & 2 together
c. Either 1 alone or 2 & 3 together
d. 3 & either 1 or 2
e.None of these
ANSWERS with Hints :-
1. a
2. b
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For Q. 3 to 5
From (1) Students in section A
=5 x 220=100
11
Students in section B = 120
From (3) Students studying only Sanskrit from section A
=30% of 120=36
»60% of students studying only English in section B=36
»Students studying only English in section B
= 36x100 =60
60
From (2) Number of students studying only English from section A = Number of students studying both Sanskrit & English from section B
= 40% of 60=24
Hence
Subject Section A Section B
Only English 24 60
Only Sanskrit 36 36
Both subjects 40 24
100 120
3. c
4. a
5. a
6. a
7. b
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8. a, b & c all are correct.
(Let M be the age of Sangita & N be her son’s present age.
a. (M - 5) = 2(N - 5)
»M = 2N – 10 + 5 = 2N – 5
M+5 = 12
N+5 7
Solving we get M = 55, N = 30
b.M = 11 or 6M = 11M
N 6
M+5 = 12
N+5 7
Solving we get M = 55, N = 30
c. (M – 5) = 2(N – 5)
M = 11
N 6
Solving we get M = 55, N = 30)
9. c
10. d
11. d
12. d (No data is available regarding the non officer employees)
13. c
14. b
15. d
16. c
((1)» Selling price = Rs.828
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Cost price = Rs. (828-108) = Rs.720
Profit percentage = 108 x 100 = 15%
720
(3)» Profit percentage = 108 x 100 = 15%
720
(2)» Selling price = 90 x 920 = Rs.828
100
Profit = Rs.108
Cost price = Rs. (828-108)
= Rs.720
Profit percentage = 108 x 100 = 15%)
720
17. c
18. a
19. d
20. b
21. d(No data is given for the time for which the amount was borrowed)
22. d
23. d
24. d
25. c
SBI CLERK MODEL PAPER NUMERICAL ABILITY
1. Let R = qs—4. When s=8, R=16. When s=10, R is equal toa. 11
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b. 14c. 20d. 21Answer-d
2.
Answer d
3. If 272/3 × 81-1/2 = 3x, the value of x isa. -1b. 0c. 1d. 2Answer -b 4. 0.333 .... × 0.444 .... is equal toa. 0.148148148 ....b. 0.777 ....c. 0.121212 ....d. 1.333 ....Answer-a
5.
Answer-d
6.
Answer-c 7.
Answer-c
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8.
Answer-c 9. On converting the following base-2 numeral in base ten, 1101101, we geta. 96b. 104c. 108d. 109Answer-d 10. The number of prime factors of (6)10×(7)17×(55)27a. 54b. 64c. 81d. 91Answer-d 11. A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25 seconds. The length of the train is -a. 125mb. 135 mc. 159 md. 175 mAnswer-c 12.Two taps A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the taps are opened simultaneously and the tap A is closed after 3 minutes, then how much more time will it take to fill the tank by tap B?a. 7 min & 15 secb. 7 min & 45 secc. 8 min & 5 secd. 8 min & 15 secAnswer-d 13. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio, the liquids be mixed in both the vessels so that the new liquid contains half milk and half water?a. 7:5b. 1:2c. 2:1d. 6:5Answer-a14.A car covers a distance of 715 km at a constant speed. If the speed of the car would have been 10 km/hr more, then it would have taken 2 hours less to cover the same distance. What is the original speed of the car?a. 45 km/hrb. 50 km/hrc. 55 km/hrd. 65 km/hrAnswer-c15.A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does the work in 40 days, then A, B and C together can do the work in
Answer-a16. A person covered some distance in 12 hours. He covered half the distance by rail @ 75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was
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a. 450 kmb. 675 kmc. 337.5 kmd. 1350 kmAnswer-b 17. A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A's share, 4 times B's share and 7 times C's share are all equal. The share of C isa. Rs. 84b. Rs. 147c. Rs. 196d. Rs. 240Answer-a18. A and B entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3 months C also joined them with a capital of Rs. 15000. The share of C in the half yearly profit of Rs. 9500 isa. Rs. 3500b. Rs. 3000c. Rs. 2500d. Rs. 4000Answer-c19.A can do a piece of work in 12 days and B can do it in 18 days. They started the work together but A left 3 days before the completion of the work. The total number of days to complete the work is
Answer-b20.The ratio of income of A and B is 5:4 and their expenditure is as 3:2. If at the end of the year, each saves Rs. 800, then the income of A isa. Rs. 1700b. Rs. 1800c. Rs. 2000d. Rs. 2200Answer-c21.A and B can together finish a work in 30 days. They worked at it for 10 days together and then B left. The remaining work was done by A alone in 30 more days. B alone can finish the work ina. 48 daysb. 60 daysc. 75 daysd. 90 daysAnswer-d
22.The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. If the total surface is 616 sq. cm, the volume of the cylinder isa. 1848 cm3b. 1232 cm3c. 1078 cm3d. 980 cm3Answer-c 23.A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in the ratio of 6 : 5. The smaller side of the rectangle isa. 30 cmb. 60 cmc. 72 cm
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d. 108 cmAnswer-b24.A man walking at the rate of 6km per hour crosses a square field diagonally in 9 seconds. The area of the field is-a. 125 sq. cmb. 112.5 sq. cmc. 110 sq. cmd. 100√2 sq. mAnswer-b25.A rectangular carpet has an area of 240 sq. cm. If its diagonal and the longer side are together equal to five times the shorter side, the length of the carpet is -a. 10 cmb. 24 cmc. 26 cmd. 27.5 cmAnswer-b26.The ratio of 435 : 25 is same asa. 4 : 1b. 2 :1c. 7 : 5d. 7 :10Answer-a27. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube isa. √π : √6b. √π : √6c. √π : √3d. √6 : √πAnswer-d28.The marked price of a table is Rs. 3000 and is available at successive discounts of 20% and 10% respectively. If there is an additional discount of 5% on cash payment, then what is the cash price of the table?a. Rs. 2400b. Rs. 2160c. Rs. 2100d. Rs. 2052Answer-d29.A trader marks his goods 25% above the C.P. but discounts 15% on the marked price. His gain percent in the deal is-
Answer-b
30. A certain sum becomes Rs. 5290 in 2 years and Rs. 6083.50 in 3 years at C.I. The rate of interest per annum is -a. 10%b. 12%c. 15%d. 16⅔ %Answer-c31.A person borrowed Rs. 500@ 3% per annum S.I and Rs. 600 @4½% per annum on the agreement that the whole amount will be returned only when the total interest becomes Rs. 126. The number of years, after which the borrowed sum is to be returned, isa. 2
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b. 3c. 4d. 5Answer-b32.A sum of Rs. 12,000 doubles in 5 years at C.I. What will be the amount after 20 years?a. Rs. 1,20,000b. Rs. 1,92,000c. Rs. 1,24,000d. Rs. 96,000Answer-b
33. A person sold 320 mangoes for the C.P. of 400 mangoes. His gain percent isa. 10%b. 15%c. 12½%d. 25%Answer-d34.On selling each of the rwo radios for Rs. 5000, a person neither gained nor lost. If he had sold one radio at 25% gain, then at what percent loss did he sell the other radio?
Answer-a35. A person bought some oranges @ Rs. 10 per dozen and bought the same amount of oranges @ Rs. 8 per dozen. He sold these oranges @ Rs. 11 per dozen and gained Rs. 120. The total number of oranges bought by him was -a. 30 dozenb. 40 dozenc. 50 dozend. 60 dozenAnswer-d36.On selling a certain commodity for Rs. 425, there is as much gain as loss on selling it for Rs. 355. The C.P. of the commodity isa. Rs. 370b. Rs. 385c. Rs. 390d. Rs. 400Answer-c37.A sum of Rs. 800 amounts to Rs. 920 in three years at S.I. If the rate of interest is increased by 5% then the amount will increase toa. Rs. 950b. Rs. 980c. Rs. 1010d. Rs. 1040Answer-d 38.Of the three numbers, second is twice the first and is also thrice the third. If the average of the three numbers is 44, the largest number isa. 24b. 36c. 17d. 72Answer-d
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39.A house owner wants to get his house painted. He is told that this would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg tins, the number of tins required for painting the house is -a. 15b. 12c. 10d. 20Answer-a40.Price of food grains have risen by 10% and of other items of consumption by 15%. If the ratio of an employee's expenditure on food grains and other items is 2:5, by how much should his salary be increased so that he may maintain the same level of consumption as before, assuming that his present salary is Rs. 3500?a. Rs. 300b. Rs. 350c. Rs. 375d. Rs. 475Answer-d
FREE SBI Bank Clerk Numerical Ability Solved Paper
1 A , B & C started a business by investing Rs 1,20,000 , Rs 1 , 35 , 000 & Rs 1,50,000 respectively . Find the share of each , out of the annual profit of Rs 56, 700 (a) 16800 , 18900 , 21000 (b) 16800 , 18900 , 25000(c) 16850 , 18900 , 21000 (d) 16820 , 18500 , 210002 A , B , C start a business each investing Rs 20,000 . After 5 month A withdrawal Rs 5000 , B withdrawal Rs 4000 & C invests Rs 6000 more . At the end of the year , a total profit of Rs 69900 was recorded . Find the share of each . (a) 20500 , 21200 , 28200 (b) 20501 , 21202 , 22200(c) 28500 , 21200 , 28200 (d) 20500 , 21200 , 282003 A invested Rs 76000 in a business . After few month , B joined him with Rs 57000 . At the end of the year , the total profit was divided between them in the ratio 2 : 1 . After how many months did B join . (a) 4 (b) 5(c) 6 (d) 7 4 Anand & Deepak started a business investing Rs 22,500 & 35,000 . Out of a total profit of Rs 13,800, Deepak’s share is (a) 5400 (b) 7200 (c) 8400 (d) 9600 5 Reena & Shaloo are partner in a business . Reena invests Rs 35,000 for 8 months & Shaloo invests Rs 42,000 for 10 months . Out of a profit of 31,570 , Reena’s share is (a) 9471 (b) 12,628(c) 18040 (d) 18492 6 Aman started a business investing Rs 70000 . Rakhi joined him after six months with an amount of Rs 105000 & Sagar joinedThem with Rs 1.4 Lakh after another six months . The amount of profit earned should be distributed in what ratio among Aman , Rakhi & Sagar respectively , 3 years after Aman started a business ? (a) 7 : 6 : 10 (b) 12 : 15 : 16(c) 42 : 45 : 56 (d) can’t determine (e) none of these 7 A, B , C enter into a partnership . A initially invests 25 lakh & adds another 10 lakhs after one year . B initially invests 35 lakh & withdrawal 10 lakh after 2 years & C invests Rs 30 Lakhs . In what ratio shoud the profit be divided at the end of 3 years ? (a) 10 : 10 : 9 (b) 20 : 20 : 19(c) 20 : 19 : 18 (d) none of these 8 A , B , C invests 50000 in a business . A invests 4000 more than B & B Rs 5000 more than C . Out of a total profit of 35000 A receives
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(a) 8400 (b) 11900 (c) 13600 (d) 14700 9 Three partners A , B , C start a business . twice A’s capital is equal to thrice B’s capital & B’s Capital is four times C’s capital Out of a total profit of Rs 16500 at the end of a year , B’s share is (a) 4000 (b) 6000 (c) 7500 (d) 660010 In a business , A & C invested amounts in the ratio 2 : 1 , whereas the ratio between amounts invested by A & B was 3 : 2 . If Rs 157300 was their profit , how much amount did B receive (a) 24200 (b) 36300(c) 48400 (d) 72600 11 A , B , C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 . After four months , A invested his share by 50 % . If the total profit at the end of one year be rs 21600, then B’s share in the profit is (a) 2100 (b) 2400(c) 3600 (d) 4000 12 X & Y invested in a business . They earned some profit which they divided in the ratio 2 : 3. If X invested Rs 40000 , the amount invested by Y is (a) 45000 (b) 50000(c) 60000 (d) 80000 13 A began a business with s 85000 . He was joined afterwards by with Rs 42500 . For how much period does B join , if the profits at the end of the years are divided in the ratio 3 : 1 ? (a) 4 months (b) 5 months(c) 6 months (d) 8 months 14 A & B start a business jointly . A invests Rs 16000 for 8 month & B remains in a business for 4 months . Out of total profit , B claims 2/7 of the profit . How much money was contributed by B ? (a) 10500 (b) 11900(c) 12800 (d) 13600 15 A & B invest in a business in the ratio 3 : 2 . If 5% of the total profit goes to charity & A’s share is 855 , the total profit is (a) 1425 (b) 1500(c) 1537.50 (d) 1576 16 If 4 ( A’s Capital ) = 6 ( B’s Capital ) = 10 ( C’s Capital ) , then out of the total profit of Rs 4650 , C will receive (a) 465 (b) 900(c) 1550 (d) none of these 17 A, B , C enter into a partnership . A invest some money at the beginning , B invests double the amount after six month & C invests thrice the amount after 8 months . If the annual profit be Rs 27000 , C’s share is (a) 8625 (b) 9000(c) 10800 (d) 11250 18 A & B started a partnership business investing some amount in the ratio 3 : 5 . C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A , B , C (a) 3 : 5 : 2 (b) 3 : 5 : 5(c) 6: 10 : 5 (d) data inadequate (e) none 19 A , B , C enter into a partnership & their share are in the ratio ½ : 1/3 : ¼ , after two months , A withdraws half of the capitals & after 10 months , a profit of Rs 378 is divided among them . What is B’s share (a) 129 (b) 144(c) 156 (d) 168 20 In a partnership , A invests 1/6 of the capital for 1/6 of the time , B invests 1/3 of the capitals for 1/3 of the time & C , the rest of the capital for the whole time , out of a profit of Rs 4600 , B’s share is (a) 650 (b) 800(c) 960 (d) 1000 21 A , B , C started a shop by investing Rs 27000 , 72000 , 81000 respectively . At the end of the year , the profit were distributed among them . If C’s share of profit be 36000 , then total profit was (a) 80000 (b) 95600
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(c) 108 000 (d) 116000 22 A & B started a business jointly , A’s investment was thrice the investment of B & the period of his investment was two times the period of investments of B . If B received Rs 4000 as profit , then their total profit is (a) 16000 (b) 20000(c) 24000 (d) 28000 23 Two friends started a business investing in the ratio 5 : 6 . R joined them after six months investing an amount equal to that of Q’s . At the end of year , 20 % profit was earned which was equal to 98000 . What was the amount invested by R (a) 105 000 (b) 175000(c) 210000 (d) Data Inadequate (e) none 24 Three partner share the profit in a business in the ratio 5 : 7 : 8 . They had partnered for 14 months , 8 months , 7 months . What was the ratio of their investments ? (a) 5:7: 8 (b) 28 : 49 : 64(c) 38 : 28 : 21 (d) none25 A & B partner in a business , A contribute ¼ of the capital for 15 months & B received 2/3 of the profit . For how many times B’s money was used(a) 6 months (b) 9 months(c) 10 months ( d) 1 yearsAnswerS1(a) , 2(a) , 3(a) , 4 (c) , 5(b) , 6(b) , 7 (d) , 8 (d) , 9 (b) , 10 (c) , 11 ( d ) , 12 (c) , 13 (d) , 14 (c) , 15 (b) 16 (b) 17 (b) 18 (c) 19 (b) 20 (b) 21 (a) 22 (d) 23 (c) 24 (d) 25 (c)Answers with Explanation :- Q-1 Ratio of shares A , B , C = ratio of their investments = 120000 : 135000 : 150000 = 8 : 9 : 10 8/27 ) = 16800A’s share = ( 56700 B’s 9/27 ) = 18900share = ( 56700 10/27 ) =C’s share = ( 56700 21000 7 5 + 15000 Q-2 Ratio of the capitals of A , B , C = 20000 7 5 + 26000 7 : 20000 5 + 16000 : 20000 205000 : 212000 : 282000 = 205 : 212 : 282 205/699) = 20500A’s share = ( 69900 212 / 699 ) = 21200B’s share = (69900 C’s share = ( 69900 282/699 ) = 28200Q-3 Let B joined after x month . Then, B’s money was invested for ( 12 – x ) month { 12 – 12 ) / ( 57000 ( 76000 x }) = 2/1912000 = 114000 ( 12 – x ), 912 = 114 ( 12 – x ) , x = 4Hence , B joined after 4 months .Q-4 Ratio of their share = 22500 : 35000 : = 9 : 14 14 /23 ) = 8400Deeepak share = ( 13800 Q-5 10 ) = 2 : 3 8 ) : ( 42000 Ratio of their shares = ( 35000 2/5)Reena’s share = ( 31570 = 12628 Q-6 Aman : Rakhi : Sagar = ( 36 ) : ( 105000 70000 24 ) = 12 : 15 : 1630 ) : ( 140000 Q-7 2 + 2 ) : ( 35 lakh 1 ) : ( 35 lakh A : B : C = ( 25 lakh 25 1 )lakh 3 ): ( 30 lakh 95 lakh : 95 lakhs : 90 lakhs = : 19 : 19 : 18Q-8 Let C = x . Then B = ( x + 5000 ) & A = x + 5000 + 4000 = x + 9000So , x + x + 5000 + x + 9000 = 50000 , 3x = 36000 , x = 12000A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12A’s 21 50 ) = 14700share ( 35000 Q-9 Let C = x . Then B = 4x & 2A = 4x = 12x3 or A = 6xA : B : C = 6x : 4x : x = 6 : 4 : 1So 4/11 ) = 6000B’s capital = ( 16500 Q-10 A : B = 3 : 2 , B : A = 2 : 3 = 4 : 6 & A : C = 2 : 1 = 6 : 3So B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3 4/13 ) = 48400B’s share = ( 157300
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Q-11 Ratio of initial investments = 7/2 : 4/3 : 6/5 = 105 : 40 : 36Let the initial investments be 105 x , 40x , 36x 4 +A : B : C = ( 105x 8 105x 150/100 8 ) 4 + 5x/2 ) : ( 5x 1680x : 480x : 432x = 35 : 10 : 9 10/54 ) = 4000Hence B’s share = ( 21600 Q-12 Let Y invested Rs y . Then 40000 /y = 2/3 or y = 60000 Q-13 Let B x = 3/1 12 ) / 42500 joined for x month . Then ( 85000 x = 8 , so B joined for 8 month . Q-14 Let the total profit be x , then B = 2x/7 & A = ( x – 2x/7 ) = 5x/7So A : B = 5x/7 : 2x /7 = 5 : 2 4 ) = 5/2 , y = 8 ) / ( y Let B’s capital be Rs y . Then , ( 16000 12800 Q-15 Let the total profit be Rs 100After paying to 3/5 ) = 57charity , A’s share = ( 95 If A’s share is 57 , then total profit = 100If A’s share is 855 , total profit = ( 10057 855 ) = 1500Q-16 Let 4A = 6B = 10 C = kTherefore we can say that A = k/4 , B = k /6 , C = k /10A : B : C = k/4 : k/6 : k /10 = 15 : 10 : 6 6 /Therefore we can say that C’s share is = ( 4650 31) = 900Here we use 6 because C’s ratio is 6Q-17 Let A’s investments be x 6 ) : 12 ) : ( 2x Then , ratio of capitals = ( x 4 ) = 12x : 12x : 12x = 1: 1: 1( 3x Therefore C’s share is = ( 1 / 3) = 900027000 Q-18 Let the initial investments of A & B is 3x & 5x 12 ) :A : B : C = ( 3x 6 ) = 12 ) : ( 5x ( 5x 36 : 60 : 30 = 6 : 10 : 5Q-19 Ratio of initial investments = ½ : 1/3 : ¼ = 6 : 4 : 3Let their initials investments be 6x , 2x , 3x 12 ) = 42 : 48 : 12 ) : ( 3x 10 ) : ( 4x 2 + 3x A : B : C = ( 6x 36 = 7 : 8 : 6 8 /21 ) = 144B’s share is = ( 378 Q-20 Let A’s investments x /6 for y /6 months . Then , B’s investments is Rs x / 3 for y/3 months.C invests[ x – (x/6 + x/3)] i. e., Rs. x/2 for y months. y) = y/3) : (x/2 y/6) : (x/3 There for A:B:C = (x/6 1/36 : 1/9 : ½ = 1 : 4 : 18. 4/23 ) =Hence, B’s share = Rs. (4600 Rs. 800.Q-21 A : B : C = 27000 : 72000 : 81000 = 3 : 8 : 9. So, C’s share : Total profit = 9 : 20.Let the total profit be Rs x. Then, 9 / 20 = 36000 / x 20 / 9)or x = (36000 = 80000.Q-22 Suppose B invested Rs x & y month . Then , A invested Rs 3x for 2y months . y ) = 6xy : xy = 6 : 1 2y ) : ( x So A: B = ( 3x Therefore B’s profit : total profit = 1 : 7Suppose total profit be x . Then 1/7 = 4000 / x , or x = 28 000Q-23 Let the total profit = z20 % of x = 98000 , x = 490 000Let the capitals of P , Q , R be 5x , 6x & 6x 12 6 ) = 490 000 12 ) + ( 6x 12 ) + ( 6x ( 5x x = 35 000R’s investments = 6x = 6( 35000 ) = 210 000Q-24 Let their investments be Rs x for 14 months , y for 8 months & z for 7 monthsThen 14x : 8y : 7z = 5 : 7 : 814x / 8y = 5/7 , y = 7/4 z14x /7z = 5/8 , z = 112 / 35 x = 16 /5 xx: y : z = x : 7/4 x : 16/5 x = 30 : 35 : 64Q-25 Let the total profit be zB’s share is = 2z/3, A’s share = Rs. z/3.
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There for A : B = z / 3 : 2z /3 = 1 : 2.Let the total capital be rate x & suppose B’s money was used for x months. Then ,
SBI BANK CLERK NUMERICAL ABILITY
1. Minimum number that should be added to 23087 to make it completely divisible by 8 is ......
(a) 1 (b) 2 (c) 3 (d) 4
Ans (a)
2. The angles ABC are 5x0, 7x0 and 6x0 respectively. What is the measure of the Ð BCA?
(a) 500 (b) 600 (c) 700 (d) cannot decide
Ans (c)
3. 390× 1000 × 201 × 34 = ?
(a) 895 (b) 1540 (c) 1620 (d) 1780
Ans (c)
4. Ratio of costs of a table and a chair is 5:3 . If the tables cost Rs. 500 more than the cost of chair's, what is the chair's cost?
(a) Rs. 1250 (b) Rs. 1750 (c) Rs. 1450 (d) Rs. 750
Ans (d)
5. 1646 − 13 × 18 + 249 = ? + 875
(a) 786 (b) 687 (c) 2486 (d) 2356
Ans (a)
6. A number when divided by 5 leaves the remainder 3. What is the remainder when the square of the same number is divided by 5?
(A) 9 (b) 3 (c) 0 (d) 4
Ans (d)
7. 12% 650 + ? % of 400 = 110
(a) 25 (b) 18 (c) 8 (d) 80%
Ans (c)
8. train 'A' crosses a 160 m standing train 'B' in 15 sec and a standing person in 9 sec. What is its speed?
(a) 96 km/hr (b) 72 km/hr (c) 84 km/hr (d) 92 km/hr
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Ans (a)
9. The type of matrix
√2 0 0
0 √3 0
0 0 √2
is?
(a) Scalar (b) Unit (c) Diagonal (d) Transpose
Ans (c)
10. The value of log 10000 is
(a) 4 (b) 8 (c) 5 (d) 6
Ans (a)
11. The sum of all numbers between 800 and 1100 which are divisible by 79 is
(a) 2846 (b) 2844 (c) 3844 (d) 3584
Ans (b)
12. The difference between the squares of any two consecutive integers is equal to
(a) Product of two numbers (b) Sum of two numbers
(c) Difference of two numbers (d) An even number
Ans (b)
13. 74 is divided into two parts so that 5 times one part and 11 times the others part are together equal to 454. Then the parts are
(a) 14,60 (b) 60,14 (c) 30,44 (d) 20,34
Ans (b)
14. If 4 workers can make 42 toys in 6 days, how many toys can 12 workers make in 3 days?
(a) 63 (b) 28 (c) 252 (d) 7
Ans (a)
15. The price of 349 coconuts are Rs 2094. What will be the price of 26 dozens of coconuts?
(a) Rs 1662 (b) Rs 1562 (c) Rs 2062 (d) Rs 1872
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Ans (d)
16. The area of a rectangular field is 10 times of its length. If the breadth of the field is 10m, what is its length?
(a) 40m (b) 25m (c) 20m (d) data inadequate
Ans (d)
16. The salary of an employee was reduced by 40% first and then was increased by 50%. How much percent did he lose?
(a) 15% (b) 20% (c) 10% (d) 12%
Ans (c)
17. If 9 men & 15 women can do a piece of work in 25 days, then 39 men and 10 women will complete the same work in
(a) 7 days (b) 6 days (c) 5 days (d) 4 days
Ans (c)
18. One person took a loan of Rs. 5000 for 3 yrs on simple interest. After three years he paid back Rs. 6200 including the principal and the interest accrued. Calculate the rate of interest.
(a) 6% (b) 7% (c) 8% (d) 7.5%
Ans (c)
19. The smallest number which when added to the number 1154 makes it a perfect square is
(a) 1 (b) 2 (c) 3 (d) 4
Ans (b)
20. The present age of Ramesh is ¼ of his father's age. After 4 years, the sum of their ages will be 68. What is the present age of Ramesh?
(a) 10 yrs (b) 15 yrs (c) 16 yrs (d) 12 yrs
Ans (b)
21. Sheet metal required to make a hollow cone of height 24 cm and radius 7 cm is
(a) 407 cm2 (b) 250 cm2 (c) 704 cm2 (d) 400 cm2
Ans (c)
22. If 42 men can do a work in 15 days, how many men are required to complete it in 21 days?
(a) 24 (b) 36 (c) 30 (d) none of these
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Ans (a)
23. Average marks in Maths in a class of 40 students is 45. Average of all the 30 boys is 50. Then the average marks obtained by the girls is
(a) 30 (b) 35 (c) 25 (d) none of these
Ans (a)
24. The largest angle of a quadrilateral is two times the smallest angle. If the angles form a series (a, a+d, a+2d, a+3d), the other two angles would be
(a) 600, 1200 (b) 800, 1000 (c) 900, 1000 (d) 700, 900
Ans (b)
25. A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25%
(a) 4 kg (b) 5 kg (c) 8 kg (d) 30 kg
Ans (a)
26. A shopkeeper bought locks at the rate of 8 locks for Rs. 34 and sold them at 12 locks for Rs. 57. The number of locks he should sell to have a profit of Rs. 900 is
(a) 1400 (b) 1600 (c) 1800 (d) 2000
Ans (c)
27. A person travels equal distance with speed of 3 km/hr; 4 km/hr and 5 km/hr. and takes a total time of 47 minutes. The total distance (in km) is
(a) 1 (b) 3 (c) 4 (d) 5
Ans (a)
28. The perimeter of a circular and another square field are equal. Find the area in sq.m of the circular field if the area of the square field is 484 sq.m.
(a) 888 (b) 770 (c) 616 (d) None of these
Ans (c)
29. If the compound interest on a certain sum for 2 yrs at 10% annum is Rs. 2100, the simple interest on it at the same rate for 2 yrs will be.
(a) Rs. 1700 (b) Rs. 1800 (c) Rs. 1900 (d) Rs. 2000
Ans (d)
30. The diagonal of a square A is x + y. The diagonal of a square 'B' with twice the area of A is
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(a) 2(x + y) (b) x + 2y (c) √2 (x + y) (d) 2x + 4y
Ans (c)
31. If 10x+3y : 5n+2y = 9:5, then x : y is
(a) 3:5 (b) 5:3 (c) 2:5 (d) 1:2
Ans (a)
32. A conical tent of radius 12m and height 16m is to be made. Find its cost if canvas is Rs. 10 per m2
(a) Rs 7543 (b) Rs 7445 (c) Rs 7342 (d) 7600
Ans (a)
33. 1, 5, 14, 30, ?, 91
(a) 45 (b) 55 (c) 46 (d) 60
Ans (b)
34. 1, 2, 4, 6, 7, 10, 10, ?, 13
(a) 7 (b) 11 (c) 14 (d) 12
Ans (c)
35. 2, 6, 30, 60, 130, ?
(a) 210 (b) 216 (c) 200 (d) 160
Ans (a)
SBI BANK CLERK NUMERICAL ABILITY
Directions (question 1 to 12) Completing the given SeriesQ:1 5 , 10 , 13 , 26 , 58 , 61 , ( ----- )(a) 122 (b) 12 (c) 128 (d) 64Q: 2 2, 9, 28, 65, 126, (--------).(a) 229 (b) 223 (c) 217 (d) 199 Q: 3 2, 4, 7, 11, 16, (------).(a) 18 (b) 20 (c) 22 (d) 25Q: 4 5, 9, 6, 11, 7, (---------).(a) 13 (b) 15 (c) 17 (d) 19Q: 5 11, 13, 17, 19, 23, 29, 31, 37, 41, (---------).(a) 43 (b) 47 (c) 51 (d) 53Q: 6 97, 86, 73, 58, 45, (--------).(a) 34 (b) 54 (c) 55 (d) 56Q: 7 1 , 3 , 4 , 8 , 15 , 27 , ( -----)(a) 37 (b) (c) 50 (d) 55Q: 8 212 , 179 , 146 , 113 , ( ------- )
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(a) 91 (b) 79 (c) 112 (d) 80Q: 9 1 , 9 17 , 33 , 49 , 73 , ( ----- )(a) 97 (b) 98 (c) 99 (d) 100Q: 10 2 , 5 , 11 , 23 , 47 , ( ---- )(a) 49 (b) 52 (c) 95 (d) 106Q: 11 9 , 12 , 11 , 14 , 13 , ( ------ ) , 15(a) 12 (b) 16 (c) 10 (d) 17 Q: 12 165 195 , 255 , 285 , 345 , ( ----- ) (a) 375 (b) 420 (c) 435 (d) 390Directions (question 13 to 30) Finding the Wrong Term In The Given Series . In all these question from 13 to 30 one term in the number series is wrong . Find out the wrong term Q: 13 8 , 13 , 21 , 32 , 47 , 63 , 83 (a) 21 (b) 13 (c) 23 (d) 83 (e) 47Q: 14 1 , 3 , 10 , 21 , 64 , 129 , 356 , 777(a) 10 (b) 21 (c) 356 (d) 129 ( e) 164Q: 15 6 , 12 , 48 , 100 , 384 , 768 , 3072(a) 768 (b) 384 (c) 100 (d) 48 (e) 12Q: 16 3 , 7 , 15 , 39 , 63 , 127 , 255 , 511 (a) 39 (b) 15 (c) 7 (d) 63 (e) 127Q: 17 8 , 27 , 125 , 343 , 1331 (a) 1331 (b) 343 (c) 125 (d) 8 (e) noneQ: 18 6 , 13 , 18 , 25 , 30 , 37 , 40(a) 25 (b) 30 (c) 37 (d) 40 (e) 13Q: 19 8 , 13 , 21 , 32 , 47 , 63 , 83(a) 13 (b) 47 (c) 63 (d) 32 (e) 83Q: 20 25 , 36 , 49 , 81 , 121 , 169 , 225(a) 36 (b) 49 (c) 121 (d) 169 (e) 225Q:21 1 , 2 , 6 , 15 , 31 , 56 , 91(a) 31 (b) 15 (c) 56 (d) 91 (e) none of theseQ: 22 2 , 5 , 10 , 17 , 26 , 37 , 50 , 64(a) 50 (b) 17 (c) 26 (d) 37 (e) 64Q: 23 46080 , 3840 , 384 , 48 , 24 , 2 , 1(a) 1 (b) 2 (c) 24 (d) 48 (e) 384Q: 24 52 , 51 , 48 , 43 , 34 , 27 , 16(a) 51 (b) 48 (c) 34 (d) 43 (e) 27Q: 25 105 , 85 , 60 , 30 , 0 , – 45 , – 9 0 (a) 0 (b) 85 (c) 60 (d) – 45 (e) 105 Q: 26 325 , 259 , 202 , 160 , 127,105,94(a) 94 (b) 127 (c) 105 (d) 202 (e) 259Q: 27 112, 114, 120, 124, 127, 123, 129(a) 114 (b) 120 (c) 124 (d) 132 (e) 142Q: 28 125, 126, 124, 127, 123, 129(a) 123 (b) 124 (c) 126 (d) 127 (e) 129Q: 29 3, 4, 10, 32, 136, 685, 4116(a) 136 (b) 10 (c) 4116 (d) 685 (e) 32Q: 30 196, 169, 144, 121, 100, 80, 64(a) 169 (b) 144 (c) 121 (d) 100 (e) 80
ANSWER SHEET1 2 3 4 5 6 7 8 9 10 11 12 13 14 15a c c a a a c d a c b c e c c16 17 18 19 20 21 22 23 24 25 26 27 28 29 30a e d b a d e c c a d b e e e
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Answers With Explanatios :1. Multiplied by 2 & increased by 3 2 = 26, 26 + 3 = 2= 10, 10 +3 = 13, 13 5 29 2 = 122There for missing number is 61 2. 13 + 1, 23 + 1, 33 +1, 43 + 1, 53 + 1There for missing number is 63 + 1= 217.3. Difference between consecutive no; increased by 12 +3 + 4 + 5---------There for missing number is 16 + 6 = 22.4. It is a combination of two series = 5, 6, 7, & 9, 11, (--------)There for missing number is 11+ 2 = 13.5. Series consists of Prime no:.There for missing number is 43.6. Sequence is – 11 , – 13 , – 15 , – 13------------There for missing number is 45 – 11 = 34.7. Sum of any three consecutive terms of the series gives the next term.Thus, 1 +3 +4 = 8; 3+4+8 = 15; 4+8+15= 27 & so on.There for missing number is 8+ 15 +27 = 50.8. 33 is subtracted from each term of the series to obtain the next term.There for missing number is 113 – 33 = 809. The sequence is +8, +8, +16, +16, +24----------There for missing number is 73 + 24 = 9710. The sequence is +3, +6, +12, +24, ------------There for missing number is 47 9 +48 = 95.11. Alternately we add 3 & subtract 1.Thus 9 +3=12, 12 – 1 = 11, 11+3 = 14 & so on.There for missing number is 13+3= 16.12. In each term 15 multiplied a prime no. i. e. 11,15 13,15 23, 19, 1517, 151529 = 435.There for missing number is = 1513. The sequence is +5, +8, +11, +14, +17, +20There for 47 breaks this sequence & The correct sequence is =4614 Suppose the terms of the series as A, B, C, D-------------2+1,Then the sequence is A 3+12+1, D3+ 1, CBThere for wrong number is 356.15. Each term at even place in the series, except 100 is obtained multiplying the preceding term by 2.There for wrong number is 100 & the correct term is 96.16 each number in the series is multiplied by 2 & the result is increased by 1 to obtain the next number17 The no. are cube of prime number , i.e 23 , 33 , 53 , 73 ---------------- 18 The sequence is , +7 , +5 , + 7 , + 519 The sequence is , +5 , + 8 , + 11 , + 14 , +17 , +3020 The correct sequence is 52 , 72 , 92 , --------------------21 The sequence is , +12 , +22 , +32 , ------------------22 The nos. are 12 + 1 , 22 + 1 , -------------------------23 The terms are successively divided by 12 , 10 , 8 , 624 The sequence is , – 1 , – 3 , – 5 , -----------------------25 The sequence is , – 20 , – 25 , – 30 , – 35 --------------26 The sequence is , – 66 , – 55 , – 44 , ----------------27 The sequence is , +2 , +4 , + 628 The sequence is , +1 , – 2 , +3 , – 4 , ------------------29 The sequence is as follows2nd term = ( 1st term + 1) 1
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3rd term = ( 2nd term + 1 ) 2 etc30 The sequence is ( 14 )2 , ( 13)2 , (12)2 , (11)2 , (10)2
SBI BANK CLERK NUMERICAL ABILITY SOLVED PAPERS
1 . How many solid spherical balls each of radius 1 cm can be made out of solid metallic cube of edge 22 cm?(a) 22(b) 120(c) 121(d) 2541(e)None of theseAns (d)
2. There are 26 students in a class and one of them who is 14 years old leaves the class and his place is filled up by a newcomer, if the average age is thereby lowered by one month, what is the age of the newcomer?(a) 11 years 11 months(b) 12 years(c) 13 years 11 months(d) 16 years(e)None of theseAns (a)
3. The average divided paid during 7 years by a company is 17.5%. The dividend paid for the first 6 years were, respectively, 12.5, 15, 18, 12.5 and 18 percent. What is the dividend for the 7th year?(a) 17.5%(b) 18.5%(c) 26.5%(d) 25%(e)None of theseAns (c)
4. The average price of 12 different books is Rs 16 while the average price of 10 of these books is Rs 16.10. Of the remaining two books if the price of one is 50% more than the price of the other. What is the price of these two books?(a) Rs 13, Rs 19.50(b) Rs 24, Rs 36.15(c) Rs 12.40, Rs 18.60(d) Rs 16.40, Rs 24.60(e)None of theseAns (d)
5. The average salary per head of all the employees in an institution is Rs 1600. The average salary per head of 40 officers is Rs 2950, the average salary per head of the rest is Rs 600. What is the total number of workers?(a) 37(b) 64(c) 59(d) 63(e)None of theseAns (b)
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6. The mean temperature from 4th to 11th February, both days inclusive, was 34.60C and from 5th to 12th it was 39.80C; the mean temperature on the 4th was 30.50C, what was it on the 12th?(a) 37.70C(b) 43.40C(c) 72.10C(d) 73.20C(e)None of theseAns (c)
7. An aeroplane flies once round a square whose side is 100 km long, taking the first side at 160 km per hour, the second side at 200 km per hour, the third side at 320 km per hour and the fourth side at 400 km per hour. What is the average speed (approximate) of the plane in its flight around the square?(a) 327 km/h(b) 237 km/h(c) 213 km/h(d) 192 km/h(e)None of theseAns (b)
8. A batsman finds that by scoring a century in the 11th innings of his test games he has bettered his average of the previous ten innings by 5. What is his average after the 11th innings?(a) 40(b) 50(c) 45(d) 95(e)None of theseAns (c)
9. The average of six numbers n1, n2, n3, n4, n5, n6, is while the average of n2, n3 and n4, is 6, n6 is greater than n1 by 2 and n5 is 8. What are the values of n1 and n6?(a) 6, 8(b) 5, 7(c) 7, 9(d) 11, 13(e)None of theseAns (c)
10. If 101525 = 33.5, then the value of log (3.25), when rounded to the nearest tenth is(a) 1.5(b) 1.6(c) 0.6(d) 0.5(e)None of theseAns (d)
11. What is the percentage error, correct to three places of decimal, if 0.48 is written correct to one place to decimal?(a) 0.02(b) 0.021(c) 4.166(d) 4.167(e)None of these
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Ans (d)
12. When 0.004284 is approximated to 0.0043 correct to the nearest ten thousandth, significant figures are(a) 4 and 3(b) 0.4 and 3(c) 0.4 and 2(d) 4.167(e)None of theseAns (a)
13. If the value of π is taken as 22/7 instead of 3.1416, what percentage error is made?(a) 0.04%(b) −0.04%(c) 0.4%(d) −0.4%(e)None of theseAns (b)
14. 6.75924 when rounded to the nearest thousandth becomes(a) 6.760(b) 6.7592(c) 6.759(d) 6.7593(e)None of theseAns (a)
15. 90099 when rounded to the nearest thousand becomes(a) 0099(b) 9099(c) 90000(d) 90100(e)None of theseAns (c)
16. In six equal groups, 1265 plants are to be arranged. How many plants will be left out of the groups?(a) 5(b) 4(c) 3(d) 2(e)None of theseAns (a)
17. Sanjay wants to reach the Railway station at 10.00 am. The station is 10 km away from his house. If Satish walks at the speed of 4 km/hour at what time shall he start from his home?(a) 7 am(b) 7.30 am(c) 7.45 am(d) 8.00 am(e)None of these
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Ans (b)
18. Piyush gave one-fourth of his money to Suyash. Suyash in turn gave one—third of what he received, to Jayesh. If the difference between the amount of Suyash and Jayesh is Rs 100, how much money did Sanjay have?(a) Rs 450(b) Rs 600(c) Rs 800(d) Rs 900(e)None of theseAns (d)
19. Sixteen men can complete a work in fifteen days. Twenty four children can do the same work in twenty days. In how many days will eight men and eight children together complete the same work?(a) 16(b) 15(c) 25 (d) 18(e) None of theseAns (e)
20. The ratio between the ages of P and Q four years ago was 5:6. If the total of their ages at present is 52 years, what is the ratio of their present ages?(a) 4:5(b) 8:9(c) 7:8(d) 6:7(e) None of theseAns (d)
21. If 40 percent of a number is 120, what is 5/6th of that number?(a) 200(b) 300(c) 250(d) 180(e) None of theseAns (c)
22. The ratio between two numbers is 11:9. If the sum of these two numbers is 40, what is the product these two numbers?(a) 396(b) 432(c) 400(d) 384(e) None of theseAns (a)
23. The ratio between the length and and the breadth of a rectangular garden is 5:3. If the perimeter of the garden is 160 meters, what will be the area of a 5 meter wide road around it's outside?(a) 600 sq.meters(b) 1,200 sq.meters(c) 900 sq meters(d) Data inadequate(e) None of these
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Ans (c)
24. Monty bought an article with 30 percent concession on the labelled price. he sold it for Rs 1,820 with 30 percent profit on the labelled price. At what price did he buy the article?(a) Rs 1,274(b) Rs 980(c) Rs 1,456(d) Rs 1,092(e) None of theseAns (b)
25. The average age of 25 boys in a class is 16 years. If the age of two teachers are added, the average increases by one. What is the sum of the ages of these two teachers?(a) 68 years(b) 59 years(c) 49 years(d) 64 years(e) None of theseAns (b)
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